{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 66,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Import necessary libraries\n",
    "import cv2\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from scipy.signal import savgol_filter\n",
    "from scipy.signal import find_peaks\n",
    "from scipy import signal\n",
    "from sklearn.decomposition import PCA\n",
    "import heartpy\n",
    "\n",
    "import tensorflow as tf\n",
    "model = tf.keras.models.load_model('fft_model.h5')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Define constants\n",
    "video_file = \"videos\\Attempt3.mp4\"  # Replace with the path to your video file\n",
    "output_file = \"output_ppg_signal_3.csv\"\n",
    "frame_rate = 0  # Initialize to zero\n",
    "\n",
    "# Open the video file to check the frame rate\n",
    "cap = cv2.VideoCapture(video_file)\n",
    "\n",
    "# Check if the video file was successfully opened\n",
    "if not cap.isOpened():\n",
    "    print(\"Error: Could not open video file.\")\n",
    "else:\n",
    "    # Get the frame rate of the video\n",
    "    frame_rate = int(cap.get(cv2.CAP_PROP_FPS))\n",
    "\n",
    "    # Release the video capture object\n",
    "    cap.release()\n",
    "\n",
    "# Initialize variables for PPG signal extraction\n",
    "ppg_signal = []\n",
    "ppg_Gsignal = []\n",
    "timestamps = []"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Open the video file for processing\n",
    "cap = cv2.VideoCapture(video_file)\n",
    "\n",
    "# Read and process frames\n",
    "while cap.isOpened():\n",
    "    ret, frame = cap.read()\n",
    "    if not ret:\n",
    "        break\n",
    "    \n",
    "    # Calculate PPG value from the entire frame's green channel\n",
    "    ppg_Rvalue = np.mean(frame[:, :, 0])\n",
    "    ppg_Gvalue = np.mean(frame[:, :, 1])\n",
    "    ppg_Bvalue = np.mean(frame[:, :, 2])\n",
    "    \n",
    "    # Get the timestamp of the frame using the retrieved frame rate\n",
    "    if frame_rate > 0:\n",
    "        timestamp = len(ppg_signal) / frame_rate\n",
    "    else:\n",
    "        timestamp = 0\n",
    "    \n",
    "    # Append PPG value and timestamp to the lists\n",
    "\n",
    "    ppg_signal.append([ppg_Rvalue, ppg_Gvalue, ppg_Bvalue])\n",
    "    ppg_Gsignal.append(ppg_Gvalue)\n",
    "    timestamps.append(timestamp)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Preprocessing"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 75,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x1bebe9815b0>]"
      ]
     },
     "execution_count": 75,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "N = len(ppg_signal)\n",
    "T = 1/frame_rate\n",
    "\n",
    "x = np.linspace(0, N*T, N)\n",
    "y = np.array(ppg_signal)\n",
    "y_normalized = y / np.max(np.abs(y), axis=0)\n",
    "y_detrended =  signal.detrend(y_normalized, axis=0)\n",
    "\n",
    "plt.plot(x, y_detrended, label=\"Detrended\")\n",
    "plt.title(\"PPG Signal Detrended\")\n",
    "plt.ylabel(\"Amplitude\")\n",
    "plt.xlabel(\"Time (s)\")\n",
    "plt.show()\n",
    "\n",
    "pca = PCA(n_components=0.80)\n",
    "pca_signal = pca.fit_transform(y_normalized)\n",
    "\n",
    "filtered_ppg_signal = savgol_filter(pca_signal.reshape(-1), window_length=12, polyorder=3)\n",
    "plt.plot(x, filtered_ppg_signal, label=\"Filtered Signal\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Load the model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 76,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1/1 [==============================] - 0s 26ms/step\n",
      "The Blood Pressure is: 99.35072326660156/59.74700927734375\n",
      "The Heart Rate is: 59.949493408203125\n"
     ]
    }
   ],
   "source": [
    "result = model.predict(filtered_ppg_signal[:210].reshape(1, -1, 1))[0]\n",
    "print(f\"The Blood Pressure is: {result[0]}/{result[1]}\")\n",
    "print(f\"The Heart Rate is: {result[2]}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Valentino's approach (HeartPY)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 77,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "BPM: 578.5714285714286\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "c:\\Users\\user\\anaconda3\\envs\\tf\\lib\\site-packages\\heartpy\\visualizeutils.py:119: UserWarning: Matplotlib is currently using module://matplotlib_inline.backend_inline, which is a non-GUI backend, so cannot show the figure.\n",
      "  fig.show()\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "working_data, measures = heartpy.process(pca_signal.reshape(-1), sample_rate=frame_rate*3)\n",
    "heartpy.plotter(working_data=working_data, measures=measures)\n",
    "print(f\"BPM: {measures['bpm']}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Louis's approach"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 78,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Frame Rate: 30 FPS\n",
      "Mean RR Interval: 1.08 seconds\n",
      "Standard Deviation of RR Intervals: 0.77 seconds\n",
      "RMSSD (Root Mean Square of Successive Differences): 1.20 seconds\n",
      "PNN50 (Percentage of Succesive RR Intervals differing more than 50 ms): 42.86%\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Preprocess PPG signal using Savitzky-Golay filter\n",
    "filtered_ppg_signal = savgol_filter(ppg_Gsignal, window_length=12, polyorder=3)\n",
    "\n",
    "# Peak detection to find heartbeats\n",
    "peaks, _ = find_peaks(filtered_ppg_signal, height=0.2)  # Adjust height threshold as needed\n",
    "\n",
    "# Calculate heart rate\n",
    "heart_rate = len(peaks) / (timestamps[-1] - timestamps[0]) * 60  # in BPM\n",
    "\n",
    "# Calculate RR intervals (time between successive peaks)\n",
    "rr_intervals = np.diff(np.array(timestamps)[peaks])\n",
    "\n",
    "# Calculate HRV features\n",
    "mean_rr = np.mean(rr_intervals)\n",
    "std_rr = np.std(rr_intervals)\n",
    "rmssd = np.sqrt(np.mean(np.diff(rr_intervals) ** 2))\n",
    "pnn50 = sum(np.diff(rr_intervals) > 0.05) / len(rr_intervals) * 100  # PNN50 in percentage\n",
    "\n",
    "# Visualize the processed PPG signal\n",
    "plt.figure(figsize=(12, 6))\n",
    "plt.plot(timestamps, ppg_Gsignal, label='Raw PPG Signal', color='red')\n",
    "plt.plot(timestamps, filtered_ppg_signal, label='Processed PPG Signal', color='blue')\n",
    "plt.plot(np.array(timestamps)[peaks], filtered_ppg_signal[peaks], 'x', label='Detected Peaks', color='green')\n",
    "plt.xlabel('Time (s)')\n",
    "plt.ylabel('PPG Signal Intensity')\n",
    "plt.title(f'Processed PPG Signal (Heart Rate: {heart_rate:.2f} BPM) & rr')\n",
    "plt.legend()\n",
    "plt.grid(True)\n",
    "print(f\"Frame Rate: {frame_rate} FPS\")\n",
    "# Display HRV features\n",
    "print(f\"Mean RR Interval: {mean_rr:.2f} seconds\")\n",
    "print(f\"Standard Deviation of RR Intervals: {std_rr:.2f} seconds\")\n",
    "print(f\"RMSSD (Root Mean Square of Successive Differences): {rmssd:.2f} seconds\")\n",
    "print(f\"PNN50 (Percentage of Succesive RR Intervals differing more than 50 ms): {pnn50:.2f}%\")\n",
    "\n",
    "# Save the processed PPG signal to a CSV file\n",
    "np.savetxt(output_file, np.column_stack((timestamps, filtered_ppg_signal)), delimiter=',', header='Time (s),PPG Signal Intensity', comments='')\n",
    "\n",
    "# Release the video capture\n",
    "cap.release()\n",
    "\n",
    "# Display the plot\n",
    "plt.show()"
   ]
  }
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